Best approximation of κ-random operator inequalities in matrix MB-algebras
Abstract We introduce a class of stochastic matrix control functions and apply them to stabilize pseudo stochastic κ-random operator inequalities in matrix MB-algebras. We obtain an approximation for stochastic κ-random operator inequalities and calculate the maximum error of the estimate.
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| Format: | Article |
| Language: | English |
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SpringerOpen
2021-01-01
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| Series: | Journal of Inequalities and Applications |
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| Online Access: | https://doi.org/10.1186/s13660-021-02548-4 |
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doaj-d7ffa43552364ba4912ba26dd4fda1fe2021-01-17T12:03:42ZengSpringerOpenJournal of Inequalities and Applications1029-242X2021-01-012021111410.1186/s13660-021-02548-4Best approximation of κ-random operator inequalities in matrix MB-algebrasMasoumeh Madadi0Donal O’Regan1Themistocles M. Rassias2Reza Saadati3Department of Mathematics, Iran University of Science and TechnologySchool of Mathematics, Statistics and Applied Mathematics, National University of IrelandSchool of Mathematics, Statistics and Applied Mathematics, National University of IrelandDepartment of Mathematics, Iran University of Science and TechnologyAbstract We introduce a class of stochastic matrix control functions and apply them to stabilize pseudo stochastic κ-random operator inequalities in matrix MB-algebras. We obtain an approximation for stochastic κ-random operator inequalities and calculate the maximum error of the estimate.https://doi.org/10.1186/s13660-021-02548-4Stochastic matrix control functionHyers–Ulam stabilityHausdorff–Pompeiu distanceκ-random operator inequalityMB-algebra |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Masoumeh Madadi Donal O’Regan Themistocles M. Rassias Reza Saadati |
| spellingShingle |
Masoumeh Madadi Donal O’Regan Themistocles M. Rassias Reza Saadati Best approximation of κ-random operator inequalities in matrix MB-algebras Journal of Inequalities and Applications Stochastic matrix control function Hyers–Ulam stability Hausdorff–Pompeiu distance κ-random operator inequality MB-algebra |
| author_facet |
Masoumeh Madadi Donal O’Regan Themistocles M. Rassias Reza Saadati |
| author_sort |
Masoumeh Madadi |
| title |
Best approximation of κ-random operator inequalities in matrix MB-algebras |
| title_short |
Best approximation of κ-random operator inequalities in matrix MB-algebras |
| title_full |
Best approximation of κ-random operator inequalities in matrix MB-algebras |
| title_fullStr |
Best approximation of κ-random operator inequalities in matrix MB-algebras |
| title_full_unstemmed |
Best approximation of κ-random operator inequalities in matrix MB-algebras |
| title_sort |
best approximation of κ-random operator inequalities in matrix mb-algebras |
| publisher |
SpringerOpen |
| series |
Journal of Inequalities and Applications |
| issn |
1029-242X |
| publishDate |
2021-01-01 |
| description |
Abstract We introduce a class of stochastic matrix control functions and apply them to stabilize pseudo stochastic κ-random operator inequalities in matrix MB-algebras. We obtain an approximation for stochastic κ-random operator inequalities and calculate the maximum error of the estimate. |
| topic |
Stochastic matrix control function Hyers–Ulam stability Hausdorff–Pompeiu distance κ-random operator inequality MB-algebra |
| url |
https://doi.org/10.1186/s13660-021-02548-4 |
| work_keys_str_mv |
AT masoumehmadadi bestapproximationofkrandomoperatorinequalitiesinmatrixmbalgebras AT donaloregan bestapproximationofkrandomoperatorinequalitiesinmatrixmbalgebras AT themistoclesmrassias bestapproximationofkrandomoperatorinequalitiesinmatrixmbalgebras AT rezasaadati bestapproximationofkrandomoperatorinequalitiesinmatrixmbalgebras |
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1724335537255350272 |